Theorems about the divisors of numbers contained in the form $paa \pm qbb$

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dc.creatorEuler, Leonhard
dc.date2006-06-02
dc.date.accessioned2026-07-07T07:14:45Z
dc.date.available2026-07-07T07:14:45Z
dc.descriptionEuler states without proof statements about the form of prime divisors of numbers of the form aa+Nbb. See Ed Sandifer's How Euler Did It, ``Factors of Forms'', December 2005 at http://www.maa.org/news/howeulerdidit.html for a summary of the paper.
dc.description24 pages, translation of ``Theoremata circa divisores numerorum in hac forma $paa \pm qbb$ contentorum'', Commentarii academiae scientiarum Petropolitanae 14 (1751), 151-181
dc.identifierhttps://arxiv.org/abs/math/0606057
dc.identifierhttp://arxiv.org/abs/math/0606057
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/113010
dc.subjectHistory and Overview
dc.subjectNumber Theory
dc.subject01A50; 11E16
dc.titleTheorems about the divisors of numbers contained in the form $paa \pm qbb$
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